3 years ago

I need help with this assignment

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

ℂ:

3 7, 6 2, 4 8, 5 1

()

4 6, 3 5

()

1 7, 2 8

{ᴛʜᴇ ɴᴜᴍʙᴇʀ 10, ɪ ᴀʟsᴏ ᴅᴏɴᴛ ᴋɴᴏᴡ.. sᴏʀʀʏ}

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sergiy2304 [10]

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$\displaystyle Maximum: 11$

Step-by-step explanation:

Convert this Quadratic Equation to Vertex Form by completing the square, $\displaystyle y = a[x - h]^2 + k$ :

$\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum$

So as you can see, each time we broke the equation down, we used the formula $\displaystyle [\frac{b}{2}]^2$ to complete the square.

** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.

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